Decompositions of high-frequency Helmholtz solutions and application to the finite element method
From MaRDI portal
Publication:2094577
DOI10.5802/slsedp.152OpenAlexW4296841156MaRDI QIDQ2094577
Publication date: 8 November 2022
Published in: Séminaire Laurent Schwartz. EDP et Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/slsedp.152
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical analysis (65-XX)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Wavenumber-explicit convergence of the \(hp\)-FEM for the full-space heterogeneous Helmholtz equation with smooth coefficients
- Optimal constants in nontrapping resolvent estimates and applications in numerical analysis
- General DG-methods for highly indefinite Helmholtz problems
- On Stability of Discretizations of the Helmholtz Equation
- Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation
- Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation
- Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions
- Analyse semi-classique pour l'équation de Harper (avec application à l'équation de Schrödinger avec champ magnétique)
- Singularities of boundary value problems. II
- Complex Scaling and the Distribution of Scattering Poles
- Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
- Analyticity of Solutions to Parabolic Evolutions and Applications
- The Functional Calculus
- For Most Frequencies, Strong Trapping Has a Weak Effect in Frequency‐Domain Scattering
- Mathematical Theory of Scattering Resonances
- Decompositions of High-Frequency Helmholtz Solutions via Functional Calculus, and Application to the Finite Element Method